C-polynomial approximation of Hp and HP functions

Hp -interpolation of Non-smooth Functions

The quasi-interpolation operators of Clément and Scott-Zhang type are generalized to the hp-context. New polynomial lifting and inverse estimates are presented as well.

HP ProtectTools

HP ProtectTools Firmware security features in HP Compaq business notebooks

Pre-boot authentication on HP Compaq business notebooks ...................................................................... 3 Power-on password authentication overview........................................................................................ 4 Enabling power-on password......................................................................................................... 4 Sm...

Convolution of hp - functions on locally refined grids

Usually, the fast evaluation of a convolution integral R R f(y)g(x−y)dy requires that the functions f, g have a simple structure based on an equidistant grid in order to apply the fast Fourier transform. Here we discuss the efficient performance of the convolution of hp-functions in certain locally refined grids. More precisely, the convolution result is projected into some given hp-space (Gale...

Polynomial Approximation of Functions

Constructive proofs and several generalizations of approximation results of J. H. Bramble and S. R. Hubert are presented. Using an averaged Taylor series, we represent a function as a polynomial plus a remainder. The remainder can be manipulated in many ways to give different types of bounds. Approximation of functions in fractional order Sobolev spaces is treated as well as the usual integer o...